In this Section we give another proof of Theorem REF  based on Macdonald difference operators. The use of such operators to compute observables for Macdonald measures/processes has been championed by Borodin and Corwin in [1]}, but see also [2]} for a more systematic approach. Using this approach when one specializes to the case of Schur measures, the full determinantal correlations for Okounkov's [3]} Schur measure and the full pfaffian correlations for the (one free boundary) pfaffian Schur measure have been computed by Aggarwal [4]} and Ghosal [5]} respectively. We follow the approach of Ghosal [5]} since his computations, with minor modifications, will give rise to our result. We note that while Ghosal obtains pfaffian processes, we of course are dealing with determinantal ones, while using the same method with almost the same ingredients. This is by no means a coincidence and was probably observed for the first time by Stembridge [7]}, and utilized to great success by Baik and Rains [8]}, [9]}.
